Math Problem Statement

I count on in equal steps. My first number is -2, my fifth number is 26. What is my third number?

Solution

In this problem, you're given a sequence where the first number is -2, and the fifth number is 26. The numbers increase by equal steps.

We can find the common difference (step) between each number. Let’s denote the numbers as:

  • First number: -2
  • Fifth number: 26

The difference between the first and fifth number is 26(2)=2826 - (-2) = 28.

Since there are four steps between the first and fifth numbers (1st

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Common Difference

Formulas

Common Difference Formula: d = (last term - first term) / number of steps

Theorems

Arithmetic Sequence Theorem

Suitable Grade Level

Grades 6-8